The area of the sector is 188.9 km².
What is a sector?
A sector is a plane figure enclosed by two radii and an arc between them.
To calculate the area of the sector, we use the formula below.
Formula:
- A = ∅πr²/360................. Equation 1
Where:
- A = Area of a sector
- r = Radius of the circle
- ∅ = The angle sustained by the sector at the center of the circle
From the diagram,
Given:
Substitute these values into equation 1
- A = 60×3.14×19²/360
- A = 188.9 km²
Hence, the area of the sector is 188.9 km².
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